52584 has 32 divisors (see below), whose sum is σ = 150720. Its totient is φ = 14976.

The previous prime is 52583. The next prime is 52609. The reversal of 52584 is 48525.

52584 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52584.

It is not an unprimeable number, because it can be changed into a prime (52583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (4710).

2⁵²⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75360).

52584 is an abundant number, since it is smaller than the sum of its proper divisors (98136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52584 is a wasteful number, since it uses less digits than its factorization.

52584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 52584 is about 229.3120145130. The cubic root of 52584 is about 37.4643216211.

It can be divided in two parts, 525 and 84, that multiplied together give a square (44100 = 210²).

The spelling of 52584 in words is "fifty-two thousand, five hundred eighty-four".